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134042640 = 24352919259
BaseRepresentation
bin1111111110101…
…01010000010000
3100100020001221020
413333111100100
5233303331030
621144555440
73215225604
oct777252020
9310201836
10134042640
1169733246
1238a82b80
1321a02894
1413b33504
15bb7b510
hex7fd5410

134042640 has 80 divisors (see below), whose sum is σ = 429883200. Its totient is φ = 34510336.

The previous prime is 134042609. The next prime is 134042677. The reversal of 134042640 is 46240431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134042640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2670 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (5373540).

Almost surely, 2134042640 is an apocalyptic number.

134042640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214941600).

134042640 is an abundant number, since it is smaller than the sum of its proper divisors (295840560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134042640 is a wasteful number, since it uses less digits than its factorization.

134042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19304 (or 19298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 134042640 is about 11577.6785237801. The cubic root of 134042640 is about 511.7772672148. Note that the first 3 decimals are identical.

The spelling of 134042640 in words is "one hundred thirty-four million, forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 19259 38518 57777 77036 96295 115554 154072 192590 231108 288885 308144 385180 462216 558511 577770 770360 924432 1117022 1155540 1540720 1675533 2234044 2311080 2792555 3351066 4468088 4622160 5585110 6702132 8377665 8936176 11170220 13404264 16755330 22340440 26808528 33510660 44680880 67021320 134042640